4. Solve the following logarithmic equations. a. 2logx = log2 + log(3x – 4) d. logx + log(x – 1) = log(4x) b. log2(x – 2) + log2(x + 1) = 2 e. log3(x + 25) - log3(x – 1) = 3 c. log,(x – 5) + log,(x + 3) = 1

Q: 2. Ifƒ (x, y) = log (x² + y²), then ƒ +ƒ is equal to XX yy 1 (a) x² + y² (b) 0 1,² - x² (c) (d) *…

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Q: (1) (a) Solve the following: 1 (i) 2*-6 8 (ii) log, (x+3) =1– log, (x-1) = -

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Q: 4e3x+3-7=53

A: Hi! You have posted multiple questions. So, we will be solving only the first question as nothing is…

Q: Solve the following equations for x (a) 31-x - 92x (b) log2(z – 2) + logą z = 3

A: On solving the first

Q: (1) Solve the following: (a) 4²x-1 = 64 (d) In 3 – In x – In(x+ 5) = 0 (f) log2(x – 1) – log,(x+ 3)…

A: Since you have asked multiple questions with multiple subparts, we will solve the first three…

Q: The following shows Bisola's work in solving the equation. What is Bisola's error, any? if Step 1:…

A: Solve the equation.     253x+15=5

Q: (1) Solve the following: (a) 42x-1 = 64 (d) In 3 – Inx- In(x+ 5) = 0 (b) 81-x = 4x+2 (c) 22x +2x –…

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Q: (1) Solve the following: (a) 42x-1 = 64 (b) 81–x = 4x+2 (c) 22x + 2* – 12 = 0 (d) In 3 – In x –…

A: Hey, Since you have posted multiple questions we will answer the first three subparts. if you want…

Q: Solve 3"-1 – 2 log2(3) +1 log3 (2) +1 O log3 (2) – 1 Find the solutions to log (x + 3) + log (x – 2)…

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Q: Solve the following logarithmic equation: z=7, k=3 log;(Z + 8)x7 – log3(2K +9)x³ = log;(Z + 5)x² +…

A: Given,         log3Z+8x7-log32K+9x3=log3Z+5x2+4Z+K-6         When Z=7 , K=3

Q: A relationship between (y – 2) and (x – 1) is given by (y – 2) = ab(x -1). . With a suitable linear…

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Q: woubnat Solve for x 7* = 12 a. b. log(x+5)+log(x-4)=1 c. log, (x+3)-log, x= log, 7 %3D d.…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: 3. Solve the following equations for x: (a) 3*4*+2 = 8 (d) log₂x = 2 (b) 3 lnx + 2 ln x² = 6 (e)…

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Q: 4. Determine the co-ordinates of the point of intersection of the graphs of f(x) = 5(3*) %3D log a…

A: The given curves are  f(x) = 5.3x f(x) = 7.2x

Q: solve for x in the following equation 2e^3x-1=10

A: To solve the equation

Q: 0:A-If y = 2cc (20) and x = etot(20), Prove that: - (answer one only) dy *- (In2).. log, x %3D dr B-…

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: (1) (a) Solve the following: 1 (i) 2*-6 8. (ii) log,(x+3) =1– log,(x-1)

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: D) log3 (x² – 5) = 2

A: To solve the equation for all real values of x log3(x2-5)=2

Q: (1) (a) Solve the following: 1 (i) 2*-6 (ii) log;(x+3)=1-log;(x-1)

A:

Q: 4. Solve the following logarithmic equation: log3 (Z + 8)x7 – log3 (2K + 9)x3 = log3(Z + 5)x2 + 4(Z…

A:

Q: Solve the following equations: 2 x³ = 49 3*.27*=9 √5*=25(x-1) d. b. log₂ (6x-4)=-1 28=2(5*)

A:

Q: 11) Given that log, 6= m and log, 5 =n, show that log, 10 = mn+m-1 %3D 12) Solve for x in the…

A:

Q: 4. Solve the following logarithmic equation: log3 (Z + 8)x7 – log3 (2K + 9)x3 = log3 (Z + 5)x2 + 4(Z…

A: loga(B) + loga(C) = loga(BC) loga(B) - loga(C) = loga(B/C)

Q: Consider the following equations. I. X = 4 %3D log 8 II. X= log 2 III. X = log, 8 IV. X = 3 log 2 V.…

A: Explanation of the answer is as follows

Q: Find the solution for x: log (vz+1+1) log Vz- 40

A:

Q: x5 log %3D y® z5

A: On solving this we will get

Q: 2. 18|ャ 2. 1. 1. 1. 1. y= 2 log2 x 1/4

A:

Q: 5. ƒ(x) = 10* . ex 2x-x2 a. 2 b. logze e 10 c. e*10* + loge e*(x-3) d. x²-4x+4 e. 4x²(3 log, x +…

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Q: y = log, x %3D 1 1 1 2 4 8. 16 8 4 2 y.

A: given y=log2x complete the table x 116 18 14 12 1 2 4 8 y

Q: (a) Solve the following: 1 (i) 2-6 8. (ii) log, (x+3) =1– log,(x–1)

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Q: The solution of the equation Log(÷z4 + 2) = i27 is %3D 4 None of them O 1,-1, i,-i. • -1-i,-1+ i. |…

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Q: 2) y= log, (-4x +6)+ 4 2 +6 1) у3D 4) y= In (4x – 10) – 6 e+10 3) y =

A: SOLUTION- Since you have posted a question with multiple subpart , we will solve first three for you…

Q: (1) Solve the following: (a) 42x-1 (d) In 3- In x - In(x+ 5) 0 (c) 22x + 2x - 12 = 0 (e) log,(x+ 2)…

A: Use property of log to find value of x. Note that first find domain of function. That means value of…

Q: 9) Solve for x and y in the following pair of simultaneous equations log (x+ y) = %3; 2 log x = log…

A:

Q: 4. Solve the following logarithmic equations: a) logx+log(x+15) =2 b) log,(x+1)= 1 +log, x d)…

A: We have to find value of x for given problem

Q: A population of bacteria, B, can be modeled using the exponential function B (x) = 3 (2)“ , wherez…

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Q: The solution of the equation Log(z² – 1) = in is

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Q: The human population x of a certain island satisfies the logistic law dx/dt = kx with k = 0.03 = 3 x…

A: GIVEN: k = 0.03

Q: 14. Solve the following equations and inequalities. a) b). c) (1 : ¹+x= 27√√3 (2sinx+√3)(√2cosx - 1)…

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Q: 4. Solve the following equation: a. e* + e-* = 2 b. 2 log () – 3 = log(10x²y) %3D

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Q: 6. Solve the following equations for the unknown: i) 4 3n = 32 ii) log2(y +1) + log:(y– 1) = 3 iii)…

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Q: 4. Solve for x: a. 100(1.04)²x = 300 b. 2+ log v1+ x + 3 log VT–x = log v1 – x² c. V35x-I = 9 d.…

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Q: 1. Express the following as a single log 3log xy-log x +log y a) 6log x b) 3log x c) 6log y d) 3log…

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Q: 1. Solve the equations 2 - x a) 2 – x = |2x + 1| b) 2 = c) log! -2 %3D |x+1|

A: Modulus function is a function which always gives a positive value whatever the input given to the…

Q: - 4 ) if f(x)= log3 3-2 (x3 – 4) (x3 – 2)In(3) 6x? %3D (..3 ..3

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Q: (1) Solve the following: (a) 42x−1=64 (b) 81−x=4x+2 (c) 22x+2x−12=0 (d) ln3−lnx−ln(x+5)=0 (e)…

A: Dear student as per our rule in one session we can only solve the first three subparts of one…

Q: The number N(t) of people in a community who are exposed to a particular advertisement is governed…

A: The logistic equation is given as dNdt=Na-bN and its solution is given as N(t)=aN0bN0+a-bN0e-at…

Q: Given that log, x + 2 log4 y = 4, show that xy = 16. Hence solve for x and y in the simultaneous…

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Q: 1. Solve the following equation. a) 32x+1 – 28(3*) + 9 = 0 b) log(x – 4) + 2 log 3 = 1+ log c) x(x +…

A: We have to solve given Equation.

Q: 1. Find for the following functions : dx 2x (ans.: 3x' log,( 3 – 2x)-’ (3–2x )In 2 45) y=x' log,(3–…

A: